Unbounded Derivations in Bunce-Deddens-Toeplitz Algebras
Slawomir Klimek, Matt McBride, Sumedha Rathnayake, Kaoru Sakai, and, Honglin Wang
TL;DR
This paper investigates the structure and classification of unbounded derivations in Bunce-Deddens-Toeplitz and Bunce-Deddens algebras, including their implementations on GNS Hilbert spaces, advancing understanding of their algebraic properties.
Contribution
It provides a detailed analysis and classification of unbounded derivations in Bunce-Deddens-Toeplitz algebras, a topic not extensively explored before.
Findings
Decomposition of unbounded derivations
Classification results for derivations
Implementation on GNS Hilbert spaces
Abstract
In this paper we study decompositions and classification problems for unbounded derivations in Bunce-Deddens-Toeplitz and Bunce-Deddens algebras. We also look at implementations of these derivations on associated GNS Hilbert spaces.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Holomorphic and Operator Theory